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Finding the Fourth Proportional to 589,726.54, 883,293.18 and 487,364.50

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Solution

The fourth proportional to 589,726.54, 883,293.18 and 487,364.50 is: 729,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,726.54 : 883,293.18 = 487,364.50 : x
  2. Step 2: Convert to fraction form
    589,726.54/883,293.18 = 487,364.50/x
  3. Step 3: Cross multiply
    589,726.54x = 883,293.18 × 487,364.50
  4. Step 4: Simplify right side
    589,726.54x = 430,485,739,024.11
  5. Step 5: Solve for x
    x = 430,485,739,024.11/589,726.54
  6. Step 6: Final answer
    x = 729,975.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.